么正性与膨胀效应理论
Unitarity and Dilaton effective theory
摘要：
从介子的低能有效理论出发，结合尺度异常，计算了介子的$2\to2$散射振幅。我们发现当散射能量接近有效理论$\sqrt{s}=\sqrt{4π} f_D$的截止值时，单圈振幅违反了么正性界。然后，我们表明，列入下一个最轻的状态，即自旋2状态，周围的截止质量提高的么正性。幺正性论证表明，自旋2态和自旋1态的质量比正比于近共形动力学的米兰斯基-BKT标度的平方。
英文摘要：
From the low-energy effective theory of dilatons, consistent with the scale anomaly, we calculate the $2\to2$ scattering amplitudes of dilatons. We find that the one-loop amplitude violates the unitarity bound as the scattering energy approaches the cutoff of the effective theory, $\sqrt{s}=\sqrt{4π} f_D$. We then show that the inclusion of the next-to-lightest state, namely the spin-2 state, of mass around the cutoff improves the unitarity. The unitarity argument suggests that the mass ratio of the dilaton and the spin-2 state is proportional to the square of the Miransky-BKT scaling of the near conformal dynamics.
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